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Mastering Factors & Multiples: Prime Factorization Methods & Practice

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perryman
17 diapositives · 241 Views · Nov 06, 2019

Understand prime factorization methods using factor trees and hockey stick tables. Learn why prime factors are essential for finding GCF and LCM. Discover how to determine perfect squares and cubes. Get ahead with practice exercises for mastering these concepts.

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  1. Factors and Multiples of Whole Numbers F&P Math 10

  2. Definitions to Know • Prime Factorization – is the number written as a product of it’s prime factors • Prime Factors – When a factor of a number has exactly two divisors, 1 and itself

  3. Definitions to Know • Composite Number – a number that is divisible by more than just 1 and itself Prime numbers are blue Composite numbers are orange

  4. Prime Factoring Method #1Factor Tree • Branch into factors of the main number. • Will branch out as you factor each side branch • Keep going until you have reached a prime number on that branch • Use exponents to show how many of each prime number you have factored • Order from smallest to largest base

  5. Practice – Factor Tree Method 3300 138

  6. Prime Factoring Method #2Hockey Stick or Division Table • Only take our a prime factor at a time • The left column will be all the prime factors • The right column will be your composite that you continue until you have reached a prime in the right column • Order from smallest to largest base

  7. Practice – Hockey Stick Method 198 340

  8. Choose A Method and Practice 27 36 1925 685

  9. Why we need prime factors?GCF • We use them to find the greatest common factor between multiple numbers Multiply only COMMON FACTORS together

  10. Find the Greatest Common Factor (GCF) 90 and 225 154 and 198

  11. Find the Greatest Common Factor (GCF) 245, 315, and 770 171, 285, and 399

  12. Why we need prime factors?LCM • We use them to find the lowest common multiple Multiply all factors, but take only the highest number of the factor

  13. Find the Lowest Common Multiple (LCM) 15 and 35 126 and 441

  14. Find the Lowest Common Multiple (LCM) 22, 154, and 198 58 and 124

  15. Using Prime Factorization to Determine Perfect Square Is 256 a perfect square? Will result in two equal groups of prime factors

  16. Using Prime Factorization to Determine Perfect Cube Is 512 a perfect cube? Will result in 3 equal groups of prime numbers

  17. Today To Do: • Start working through Prime Factorization worksheets • Homework 30 minutes of working on worksheets at home over the weekend